Which system is equivalent to {y = -2x^2 {y = x-2 ?

y = -2x^2

y = x - 2

Step-by-step explanation:

y = -2x^2

y = x - 2      This is alternative way of writing out the system.

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If we equate these two functions we get:

-2x^2 = x - 2, or 0 = 2x^2 + x - 2, which is a quadratic equation solvable using the quadratic formula.  Here the coefficients are a  = 2, b = 1 and c = -2, and so the discriminant is b^2 - 4ac, or    1 - 4(2)(-2), or 17.

The x-values of the roots of the given system are:

     -1 ± √17

x =

          -4

step-by-step explanation:

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